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Finding the Fourth Proportional to 2,308.10, 3,460.01 and 921.09

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Solution

The fourth proportional to 2,308.10, 3,460.01 and 921.09 is: 1,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.10 : 3,460.01 = 921.09 : x
  2. Step 2: Convert to fraction form
    2,308.10/3,460.01 = 921.09/x
  3. Step 3: Cross multiply
    2,308.10x = 3,460.01 × 921.09
  4. Step 4: Simplify right side
    2,308.10x = 3,186,976.01
  5. Step 5: Solve for x
    x = 3,186,976.01/2,308.10
  6. Step 6: Final answer
    x = 1,380.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.